Question

11. In figure lines PO and RS intersect each other at point of ✓PQR : ✓ROQ = 5:7. Find all the angles.​

Answer 1

Answer:

Step-by-step explanation:

Hey mate I guess in the question /PQR is given wrong it should be /POR

So by considering /POR we can write /POR:/ROQ=5:7

considering /POR =5x and /ROQ=7x

the above given two angles /POR and/ROQ are adjacent angles so their sum is equal to 180*.

So,

 /POR + /ROQ= 180°

 5x +7x =180°

12x=180°

x=180°/12

x=15°

So,

/POR=5x=5 x 15 = 75°

/ROQ=7x=7 x 15 = 105°

So now for the remaining angles

/POR=/SOR=75°(by vertically opposite angles)

/ROQ=/POS=105°(by vertically opposite angles)

So all the angles are found above clearly.

Hope,it helps and if it helps then please follow and mark as brainliest answer.

Thank you.